Question

what is the length of side EH if the ratio sides CD:GH is 2:3, saide AD is 8, Ab is 10, and figures ABCD and EFGH are similar

Answer 1

`EH=12\ units`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

In this problem

ABCD and EFGH are similar

so

CD is proportional to GH

AD is proportional to EH

`(CD)/(GH)=(AD)/(EH)`

substitute the given values and solve for EH

`(2)/(3)=(8)/(EH)`

`EH=3*8/2=12\ units`